| Name |
sect409r1
(nist/B-409, secg/sect409r1, x962/ansit409r1)
|
| Category |
secg
|
| Field | Binary |
| Field polynomial | $x^{409} + x^{87} + 1$ |
| Field bits | 409 |
| Form | Weierstrass $y^2 = x^3 + ax + b$ |
| Param $a$ | 1 |
| Param $b$ | 86886261634090707672817770640384425264505829479043641824438658614111870471004564988634410809058207142318571212147935892575 |
| Generator $x$ | 901935279919555460519938020229627704409149556251441963587868715440518797594851300277260702073828731983206453567757135484583 |
| Generator $y$ | 252271804478663965520986398892908223486048997352743726687083769858460083134230324190507814191768191984593727083669152319238 |
| Simulation seed | 368803246595102809151610963217971142653913473291 |
| Order | 661055968790248598951915308032771039828404682964281219284648798304157774827374805208143723762179110965979867288366567526771 |
| Cofactor | 2 |
| $j$-invariant | 754296572979130966367055702570030140076184810784727299570664029563208238737796673624760610953546729716274009429339787708937 |
| Trace $t$ | -6059503967182126918765909026644927652236777310526686418445029 |